Finding the Fourth Proportional to 1,191.98, 1,788.66 and 498.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.98 : 1,788.66 = 498.59 : x
2. Step 2: Convert to fraction form
   1,191.98/1,788.66 = 498.59/x
3. Step 3: Cross multiply
   1,191.98x = 1,788.66 × 498.59
4. Step 4: Simplify right side
   1,191.98x = 891,799.05
5. Step 5: Solve for x
   x = 891,799.05/1,191.98
6. Step 6: Final answer
   x = 748.17